Skeleton Simplicial Evaluation Codes
Combinatorics
2011-12-02 v1 Commutative Algebra
Abstract
For a subspace arrangement over a finite field we study the evaluation code defined on the arrangement's set of points. The length of this code is given by the subspace arrangement's characteristic polynomial. For coordinate subspace arrangements, the dimension is bounded below by the face vector of the corresponding simplicial complex. The minimum distance is determined for coordinate subspace arrangements where the simplicial complex is a skeleton.
Cite
@article{arxiv.1112.0283,
title = {Skeleton Simplicial Evaluation Codes},
author = {James Berg and Max Wakefield},
journal= {arXiv preprint arXiv:1112.0283},
year = {2011}
}
Comments
16 pages, 2 figures